Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients

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Abstract

In this paper, we derive error estimates in Lp-norm, 1≦p≦∞, for the ℒ2-Finite Element approximation to solutions of boundary value problems, where the coefficients are functions of bounded variation. The ℒ2-Finite Element Method was introduced in [3] and was shown to be effective for problems with non-smooth coefficient.

Original languageEnglish (US)
Pages (from-to)303-321
Number of pages19
JournalNumerische Mathematik
Volume51
Issue number3
DOIs
StatePublished - May 1 1987

Keywords

  • Subject Classifications: AMS(MOS):65N30, CR:G1.8

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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